Nodal and Mesh Analysis and Thevenin Equivalent.

Discuss a general approach for applying nodal and mesh analysis.
Discuss how the determination of the Thevenin Equivalent circuit simplifies the design of complex circuits

Capacitors and Inductors and The Concept of Duality

Discuss how energy is stored in capacitors and inductors. Are the equations linear or non-linear? How do you know?
Discuss the concept of duality and why it applies to many fundament engineering concepts.

Please provide reference links if used.